Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.

Answers

Answer 1

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.


Related Questions

Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.

Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.

Answers

Answer:

both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.

Step-by-step explanation:

PLATO USERS

Answer:

Both companies claim that their batteries last longer than the average alkaline battery is true .

Step-by-step explanation:

Both companies claim that their batteries last longer than the average alkaline battery  is true because most of the batteries of these companies  did passed the test to last longer.

As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell  batteries passed the test.

hence we can also inferred from here that Energized batteries are more consistent.

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plelalslwlwlwe helpppppppp!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is B  [4.5x + 15]

Step-by-step

The triangle is an equilateral, so you can use the same formula on each side.

1.5x x 3 = 4.5x

5 x 3 = 15

i need help asap someone please help me asap

Answers

Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

So taking 2 points (0,0) and (60,120)

we have slope = (120-0)/(60-0) = 120/60 = 2

general equation of linear graph is y=mx+b with m be the slope

so y=2x+b

Now to find b, just plug any point of the graph in, such as (0,0)

so we get something like 0=2(0) + b => b=0

So your equation is y=2x

Finding missing angles

Answers

Answer:

95

Step-by-step explanation:

[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]

URGENT NEED HELP CLICK TO SEE

Answers

35
“Negative times a negative is a positive”

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

A car dealership sells 3 types of vehicles (cars, trucks, SUVs) that come in 5 different colors (blue, black, white, silver, red). Which table represents the sample space of randomly selecting a vehicle from the dealership? (DOK 1)

Table A

Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
Table B

Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Truck Blue Truck Black Truck White Truck Silver Truck Red Truck
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table C

Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Car Blue Car Black Car White Car Silver Car Red Car
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table D

Black White Black White Red
Car Black Car White Car Black Car White Car Red Car
Truck Black Truck White Truck Black Truck White Truck Red Truck
SUV Black SUV White SUV Black SUV White SUV Red SUV
Select one:

Table B

Table A

Table C

Table D

Answers

Step-by-step explanation:

Table A

Blue Black White Silver Red

Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle

hope it is helpful to you

If x = -3 and y = 4 find the value of : x(3x + 4y)

Answers

Answer:

-21

Step-by-step explanation:

(−3)((3)(−3)+(4)(4))

=(−3)((3)(−3))+(−3)((4)(4))

=27−48

=−21

Subjects in a study by Dabonneville et al. (A-9) included a sample of 40 men who claimed to engage in a variety of sports activities (multisport). The mean body mass index (BMI) for these men was 22.41 with a standard deviation of 1.27. A sample of 24 male rugby players had a mean BMI of 27.75 with a standard deviation of 2.64. Is there sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men? Let a ¼ :01.

Answers

Answer:

The responses can be defined as follows:

Step-by-step explanation:

Given:

[tex]H_o : \mu_1 = \mu_2\\\\H_a : \mu_1 < \mu_2[/tex]

Testing the hypothesis:

[tex]Z=\frac{( \bar{x_1}-\bar{x_2})}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]

   [tex]=\frac{(22.41-27.75)}{\sqrt{(\frac{1.27^2}{40}+\frac{2.64^2}{24})}}\\\\=-9.29\\\\[/tex]

[tex]a=0.01[/tex]

critical value [tex]Z(0.01)=-2.33[/tex] (using the standard normal table)

[tex]Z=-9.29<-2.33[/tex] so, we reject [tex]H_o[/tex].

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.

At the null hypothesis, it is tested that rugby players do not have a higher BMI than the multi-sport men, that is, the subtraction of the means is not greater than 0, hence:

[tex]H_0: \mu_R - \mu_M \leq 0[/tex]

At the alternative hypothesis, it is tested if they have a higher BMI, that is:

[tex]H_1: \mu_R - \mu_M > 0[/tex]

We have the standard deviation for the samples, hence, the t-distribution is used.

The standard errors are given by:

[tex]s_M = \frac{1.27}{\sqrt{40}} = 0.2008[/tex]

[tex]s_R = \frac{2.64}{\sqrt{24}} = 0.5389[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_R - \mu_M = 27.75 - 22.41 = 5.34[/tex]

[tex]s = \sqrt{s_M^2 + s_R^2} = \sqrt{0.2008^2 + 0.5389^2} = 0.5751[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{5.34 - 0}{0.5751}[/tex]

[tex]t = 9.29[/tex]

Using a t-distribution calculator, for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 40 + 24 - 2 = 62 df, the critical value is of [tex]t^{\ast} = 1.67[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.

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Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
A
A container holds 100 pens, half of which are red. Select an SRS of 5 pens and let R= the
number of red pens obtained.
в)
A container holds 1000 pens, half of which are red. Select an SRS of 5 pens and let S = the
number of red pens obtained.
A container holds 20 pens, half of which are red. Select an SRS of 5 pens and let Q = the
number of red pens obtained.

Answers

Answer: A and B

Step-by-step explanation:

Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.

A binomial random variable is such that can take either of two possibilities at the same time.

Samples R and S can be considered as binomial random variables

For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.

So, we have the following highlights

Container A

[tex]n =100[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{100}{5}[/tex]

[tex]\frac nx = 20[/tex]

This means that the population is 20 times the sample size.

Hence, R is a binomial random variable.

Container B

[tex]n =1000[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{1000}{5}[/tex]

[tex]\frac nx = 200[/tex]

This means that the population is 200 times the sample size.

Hence, S is a binomial random variable.

Container C

[tex]n =20[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{20}{5}[/tex]

[tex]\frac nx = 4[/tex]

This means that the population is 4 times the sample size.

Hence, Q is not a binomial random variable.

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Which expression is equivalent to 3/5?

A
3 × 5
B
3 + 5
C
3 ÷ 5
D
3 − 5

Answers

option C!! 3/5 means 3 divided 5

Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug. If 5,000 people took the drug, which of the following is closest to the interval estimate of the number of people who would indicate they were experiencing side effects from the drug at a 95 percent level of confidence?
a. (0.313,0.447)
b. (0.324, 0.436)
c. (65,87)
d. (1565, 2235)
e. (1620, 2180)

Answers

Answer:

a. (0.313,0.447)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.

This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]

The correct answer is given by option A.

Find the equation of the tangent at the point (1.1) for the function Y given in the equation

xy^2 + y = 2x

Answers

If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.

Compute the derivative using implicit differentiation:

d/dx [xy ^2 + y] = d/dx [2x]

d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]

(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2

2xy dy/dx + y ^2 + dy/dx = 2

(2xy + 1) dy/dx = 2 - y ^2

dy/dx = (2 - y ^2) / (2xy + 1)

Plug in x = 1 and y = 1 :

slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3

Now use the point-slope formula to get the equation of the line:

y - 1 = 1/3 (x - 1)

y = x/3 + 2/3

I need the answer fast

Answers

Answer:

84

Step-by-step explanation:

Answer:

it would either be 2 or 26

Step-by-step explanation:

pls mark braainlieszt

You own a gas station. You are supervising the filling of the station's cylindrical fuel tank. The fuel tank has a height of
36 feet and can hold 2,500 cubic yards of fuel.
Based on these specifications, what is the radius of the fuel tank, rounded to the nearest hundredth of a yard?
0 4.70
08.15
22.12
25.58
66.35

Answers

Answer:

8.15

Step-by-step explanation:

Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8

Answers

Answer:

[tex]x[/tex] rounded to the nearest integer would be 12.

Step-by-step explanation:

In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.

The value of x in the given triangle is 12, Option C is correct.

The given triangle is a right angled triangle.

We need to find the value of x.

We know that cosx is adjacent side by hypotenuse.

Cos 37 = Adjacent side/ Hypotenuse

The value of cos37 degrees is 0.7654

0.7654 = x/15

15×0.7654=x

11.5 =x

12=x

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1. Based on the construction below, which conclusion
is not always true?
OA. AB 1 CD
OB. AB = CD
OC. AE = EB
OD. CE = DE

Answers

Answer: B ,I just completed the assignment

AB=CD is not always true. Therefore, option B is the correct answer.

From the given construction, we need to find which conclusion is not always true.

What is a line bisector?

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.

Here, AB⊥CD.

Since CD is the perpendicular bisector of AB.

AE=EB and CE=DE

AB=CD is not always true. Therefore, option B is the correct answer.

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If f(x) = 3-2x and g(x) = 1/x+5 , what is the value of (f/g) (8)

Answers

Answer: [tex]-\frac{104}{41}[/tex]

Step-by-step explanation:

[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]

help me please and thank u

Answers

Answer:

12.625 gets you a sucky car

Step-by-step explanation:

12625 is the correct answer.

Which of the following is a result of shifting a circle with equation
(x-3)2 + (x - 5)2 = 36
down 2 units?
A. The x-coordinate of the center of the circle decreases by 2.
B. The y-coordinate of the center of the circle decreases by 2.
C. Both the x- and y-coordinates of the center of the circle decrease
by 2.
D. Both the x- and y-coordinates of the center of the circle increase
by 2.

Answers

The answer might be B, but realize if a circle is shifting both y and x can’t decrease.. and both cant increase at the same time.

The y-coordinate of the center of the circle decreases by 2. The correct option is B.

What is shifting of the circle?

Shifting a circle means moving it to a new coordinate plane location without changing its size or shape.

This can be accomplished by adding or subtracting a constant value from one or both of the circle's centre coordinates.

Shifting a circle is useful in geometry and algebraic problem solving because it allows us to investigate how a circle's position affects its relationship to other shapes and objects on the coordinate plane.

To shift the circle down 2 units, we need to subtract 2 from the y-coordinate of the center. The center of the circle has coordinates (3, 5), so shifting it down 2 units results in a new center at (3, 5 - 2) = (3, 3).

Therefore, the correct answer is B. The y-coordinate of the center of the circle decreases by 2.

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A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool?

Answers

Answer:

25.08

Step-by-step explanation:

Answer:

25.08 cubic feet

Step-by-step explanation:

v = l * w * h

v = 5.5 * 3.8 * 1.2

v = 25.08 cubic feet

Please help 50 points to whoever answers, and brainliest to best answer!!!!

Answers

Answer:

x = 26/yz

Step-by-step explanation:

What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
C. 78 cubic meters
D. 62 cubic meters

Answers

Answer:78

Step-by-step explanation:

Did it


Ryan is going to invest in an account paying an interest rate of 1.5%
compounded continuously. How much would Ryan need to invest, to the
nearest ten dollars, for the value of the account to reach $2,600 in 5 years?

Answers

Step-by-step explanation:

2,360×8=2,360 two thundered three hundred and sixty

I really need help what's the answer??

Answers

i think you just have to add all of the totals up??

Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length. what is the length of the floor?

Answers

Width x Length

X = Length

[tex]\frac{1}{3}[/tex] = 507

[tex]x^{2}[/tex] = 1521 [tex]ft^{2}[/tex]

X = 39[tex]ft[/tex]

What’s the correct answer? I will mark as brainlest

Answers

Answer:

Dear your answer is 9

so , please mark me as brainliest

THANK YOU

The answer is 9. 30% of 240 is 72. Half of 72 is 36, that means there’s 36 in the bag left and 36 on the desk. Each student gets 1 and you have 9 left in the bag.

These triangles are:
A) congruent,
B) similar or
C) neither

Answers

Answer:

there is no photo

Step-by-step explanation:

lol where’s the picture

There are 12 chickens.
Every week each chicken lays 3 eggs.
What is the totai number of eggs iaid in 7 weeks?
You must show your working.​

Answers

Answer:

252 eggs in 7 weeks

Step-by-step explanation:

[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]

There are 12 chickens and since each lay 3 eggs every week then you multiply 3 by 12 to get a total of 36 eggs each week. Then you multiply that by 7 since it’s asking for 7 weeks. 7 times 36 is 252 eggs total

Please help! Brainlyest answer!!

Answers

Answer:

The first number line

Step-by-step explanation:

.05m + 50 < 55

Subtract 50 from both sides

.05m < 5

Divide both sides by .05

m < 100

The first number line

Topic Test

Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.

a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)

Please select the best answer from the choices provided

Answers

Answer:

B. P'(-1, 0) and Q'(1, 6)

Step-by-step explanation:

Please select the best answer from the choices provided

Answer:

The answer is A. P'(-2, -4) and Q'(-4, -2)

Step-by-step explanation:

OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!

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